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On hydrodynamic limits in Sinai-type random environments | | Claudio Landim
; Carlos G. Pacheco
; Sunder Sethuraman
; Jianfei Xue
; | | Date: |
31 May 2020 | | Abstract: | We investigate the hydrodynamical behavior of a system of random walks with
zero-range interactions moving in a common ’Sinai-type’ random environment on a
one dimensional torus. The hydrodynamic equation found is a quasilinear SPDE
with a ’rough’ random drift term coming from a scaling of the random
environment and a homogenization of the particle interaction. Part of the
motivation for this work is to understand how the space-time limit of the
particle mass relates to that of the known single particle Brox diffusion
limit. In this respect, given the hydrodynamic limit shown, we describe formal
connections through a two scale limit. | | Source: | arXiv, 2006.0583 | | Services: | Forum | Review | PDF | Favorites | |
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